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Analytical solution for the lattice Boltzmann model beyond Naviers-Stokes

Meng, Jian-Ping and Zhang, Yonghao (2010) Analytical solution for the lattice Boltzmann model beyond Naviers-Stokes. Advances in Applied Mathematics and Mechanics, 2 (5). pp. 670-676. ISSN 2070-0733

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Abstract

To understand lattice Boltzmann model capability for capturing nonequilibrium effects, the model with first-order expansion of the equilibrium distribution function is analytically investigated. In particular, the velocity profile of Couette flows is exactly obtained for the D2Q9 model, which shows retaining the first order expansion can capture rarefaction effects in the incompressible limit. Meanwhile, it clearly demonstrates that the D2Q9 model is not able to reflect flow characteristics in the Knudsen layer.

Item type: Article
ID code: 26948
Keywords: lattice boltzmann method, rarefied gas dynamics, micro flows, knudsen layer, Mechanical engineering and machinery, Mathematics, Mechanical Engineering, Computational Mechanics
Subjects: Technology > Mechanical engineering and machinery
Science > Mathematics
Department: Faculty of Engineering > Mechanical and Aerospace Engineering
Depositing user: Ms Katrina May
Date Deposited: 30 Aug 2010 12:32
Last modified: 15 Apr 2015 18:02
Related URLs:
URI: http://strathprints.strath.ac.uk/id/eprint/26948

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